rhgsbt function

Relocation Heuristic for Generalized Structural Balance

This function runs relocation heuristic for generalized structural balance on an $N x N$ asymmetric matrix. The main diagonal is ignored.

rhgsbt(A, C, TLIMIT)

Arguments

• A: An $N x N$ signed network matrix.
• C: The number of clusters ($1 < C < N$, where $N$ is the number of nodes).
• TLIMIT: A desired time limit.

Returns

The function returns the following:

• obj - the Doreian & Mrvar objective value;
• P - $N$-dimensional vector of cluser assignements; and
• restarts - the number of restarts within the time limit.

Examples

# Load the Sampson (1968) monastery network (3rd time point).
data("sampsonT3")

# Run relocation heuristic for generalized structural balance.
res <- rhgsbt(A = sampsonT3, C = 3, TLIMIT = 1)

# See the results.
res

References

Brusco, M. J., Doreian, P., & Steinley, D. (2019). Deterministic blockmodeling of signed and two-mode networks: a tutorial with psychological examples. British Journal of Mathematical and Statistical Psychology.

Doreian, P., & Mrvar, A. (1996). A partitioning approach to structural balance. Social Networks, 18, 149-168. https://doi.org/10.1016/0378-8733(95)00259-6

Brusco, M. J., & Doreian, P. (2019). Partitioning signed networks using relocation heuristics, tabu search, and variable neighborhood search. Social Networks, 56, 70-80. https://doi.org/10.1016/j.socnet.2018.08.007

Author(s)

Michael Brusco